Question

Write an exponential decay function in the form f(x)=abx for each of Car A and Car B. Explain how you determined the value of b for each function.

Answer 1

Answer:

• See below

Step-by-step explanation:

• Given details help to determine the function only.
• There is no relationship between the mileage and future cost.
• We only consider the current price, decay rate and number of years.

Car A

• Cost = 8750
• Year of Manufacturer = 2015
• Decay factor = 12% or 0.12

The function would be:

• f(x) = 8750*(1 - 0.12)^x = 8750*0.88^x, where x is the number of years since year 2015

Car B

• Cost = 9995
• Year of Manufacturer = 2017
• Decay factor = 18% or 0.18

The function would be:

• f(x) = 9995*(1 - 0.18)^x = 9995*0.82^x, where x is the number of years since year 2017